Considering the number of subsets of the set of options, it is found that there are 16 options for purchasing a house in this community.
What is the number os subsets of a set of cardinality n?
The number of subsets is given by:
[tex]N_s = 2^n [/tex]
The set of options is given by:
O = { pool , alarm , lake view , balcony }
Which has cardinality n = 4.
The number of options for the purchased home is the number of subsets of set O, hence:
[tex]N_s = 2^4 = 16[/tex]
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